A NOTE ON THE SINGULARITY OF LCM MATRICES ON GCD - CLOSED SETS WITH 9 ELEMENTS

ALTINIŞIK E., Altintas T.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.413-422, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.413-422
  • Gazi University Affiliated: Yes

Abstract

In the present paper, we obtain some classes of gcd - closed sets with 9 elements on which LCM matrices are singular by adding an element to a gcd - closed set with 8 elements on which the LCM matrix is also singular. Finally, examining these examples we present two new conjectures.